Final answer:
To meet the profit goal of $1,500 with a production cost of $6,000, the drama department must sell tickets totaling $7,500 in revenue. At $7.50 per ticket, they need to sell 1,000 tickets.
Step-by-step explanation:
To determine how many tickets need to be sold to meet the profit goal for the school play, we must calculate the revenue needed and then divide that by the price per ticket. The drama department requires a profit of at least $1,500, and the production cost is $6,000. Therefore, the total revenue needed equals the sum of the desired profit and the cost of the production, which would be $1,500 (profit) + $6,000 (cost) = $7,500. With tickets being sold at $7.50 each, we then divide the total revenue required by the ticket price: $7,500 / $7.50 per ticket = 1,000 tickets. Hence, the answer to how many tickets need to be sold to meet the profit goal is 1,000 tickets, which is not among the given options a. 400, b. 300, c. 200, d. 100.